Applications on a subclass of β-uniformly starlike functions connected with q-Borel distribution

The aim of this paper is to define the operator of [Formula: see text]-derivative based upon the Borel distribution and by using this operator, we familiarize a new subclass of [Formula: see text]-uniformly starlike functions [Formula: see text]-[Formula: see text] Further, we obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to-convexity, starlikeness and convexity for functions [Formula: see text]-[Formula: see text] We also determine the second Hankel inequality for functions belonging to this subclass.

Certain New Classes of Analytic Functions with Varying Arguments

Journal of Complex Analysis ◽

10.1155/2013/958210 ◽

2013 ◽

Vol 2013 ◽

pp. 1-5 ◽

Cited By ~ 1

Author(s):

R. M. El-Ashwah ◽

M. K. Aouf ◽

A. A. M. Hassan ◽

A. H. Hassan

Keyword(s):

Convex Functions ◽

Analytic Functions ◽

Extreme Points ◽

Starlike Functions ◽

Uniformly Convex ◽

Uniformly Convex Functions ◽

Distortion Theorems ◽

Uniformly Starlike ◽

Varying Arguments

We introduce certain new classes κ−VST(α,β) and κ−VUCV(α,β), which represent the κ uniformly starlike functions of order α and type β with varying arguments and the κ uniformly convex functions of order α and type β with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.

A Subclass of Analytic Functions Related tok-Uniformly Convex and Starlike Functions

Journal of Function Spaces ◽

10.1155/2017/9010964 ◽

2017 ◽

Vol 2017 ◽

pp. 1-7

Author(s):

Saqib Hussain ◽

Akhter Rasheed ◽

Muhammad Asad Zaighum ◽

Maslina Darus

Keyword(s):

Convolution Operator ◽

Starlike Functions ◽

Distortion Theorem ◽

Open Unit ◽

Uniformly Convex ◽

Open Unit Disc ◽

Coefficient Inequalities ◽

Convex And Starlike Functions ◽

We investigate some subclasses ofk-uniformly convex andk-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these classes of functions are studied. The behavior of these classes under a certain modified convolution operator is also discussed.

Harmonic Starlike Functions with Respect to Symmetric Points

Axioms ◽

10.3390/axioms9010003 ◽

2019 ◽

Vol 9 (1) ◽

pp. 3 ◽

Cited By ~ 2

Author(s):

Nak Eun Cho ◽

Jacek Dziok

Keyword(s):

Integral Representation ◽

Starlike Functions ◽

Coefficient Estimates ◽

Distortion Theorems ◽

Harmonic Starlike ◽

Symmetric Points

In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained.

Application of Fractional Calculus to a Class of Multivalent β -Uniformly Starlike Functions

International Journal of Mathematics Trends and Technology ◽

10.14445/22315373/ijmtt-v12p517 ◽

2014 ◽

Vol 12 (2) ◽

pp. 112-119

Author(s):

J. J Bhamare ◽

◽

S. M Khairnar

Keyword(s):

Fractional Calculus ◽

Starlike Functions ◽

Uniformly starlike functions and uniformly convex functions related to the Pascal distribution

10.21136/mb.2020.0044-20 ◽

2020 ◽

pp. 1-10

Author(s):

Gangadharan Murugusundaramoorthy ◽

Sibel Yalçin

Keyword(s):

Convex Functions ◽

Starlike Functions ◽

Uniformly Convex ◽

Uniformly Convex Functions ◽

Pascal Distribution ◽

Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points

Mathematica Bohemica ◽

10.21136/mb.2014.143938 ◽

2014 ◽

Vol 139 (3) ◽

pp. 485-509

Author(s):

Nihat Yagmur ◽

Halit Orhan

Keyword(s):

Starlike Functions ◽

Symmetric Points ◽

Uniformly Starlike Functions and Uniformly Convex Functions Associated with the Struve Function

Journal of Applied & Computational Mathematics ◽

10.4172/2168-9679.1000180 ◽

2014 ◽

Vol 03 (06) ◽

Cited By ~ 1

Author(s):

Srivastava HM Murugusundaramoorthy

Keyword(s):

Convex Functions ◽

Starlike Functions ◽

Uniformly Convex ◽

Uniformly Convex Functions ◽

On uniformly starlike functions

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90006-l ◽

1991 ◽

Vol 155 (2) ◽

pp. 364-370 ◽

Cited By ~ 78

Author(s):

A.W Goodman

Keyword(s):

Starlike Functions ◽

Multivalent Harmonic Uniformly Starlike Functions

Kyungpook mathematical journal ◽

10.5666/kmj.2009.49.3.545 ◽

2009 ◽

Vol 49 (3) ◽

pp. 545-555

Author(s):

Om Ahuja ◽

Santosh Joshi ◽

Naveneet Sangle

Keyword(s):

Starlike Functions ◽

Some uniformly starlike functions with varying arguments

Tamkang Journal of Mathematics ◽

10.5556/j.tkjm.35.2004.222 ◽

2004 ◽

Vol 35 (1) ◽

pp. 23-28 ◽

Cited By ~ 2

Author(s):

K. Vijaya ◽

G. Murugusundaramoorthy

Keyword(s):

Unit Disc ◽

Extreme Points ◽

Starlike Functions ◽

Open Unit ◽

Open Unit Disc ◽

Coefficient Bound ◽

Uniformly Starlike ◽

Varying Arguments

In this paper two new subclasses of starlike functions that are analytic and normalized in the open unit disc with varying arguments is introduced. For functions in these classes we obtained coefficient bound, distortion results and the extreme points.